Abstract
The Dirac-Yang monopoles are singular Yang-Mills field configurations in all Euclidean dimensions. The regular counterpart of the Dirac monopole in D = 3 is the’ t Hooft-Polyakov monopole, the former being simply a gauge transform of the asymptotic fields of the latter. Here, regular counterparts of Dirac-Yang monopoles in all dimensions are described. In the first part of this work, the hierarchy of Dirac-Yang monopoles will be defined; in the second part, the motivation to study these in a topical context will be briefly presented; and in the last part, two classes of regular counterparts to the Dirac-Yang hierarchy will be presented.
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